// Problem 038: Pandigital multiples
// Take the number 192 and multiply it by each of 1, 2, and 3:
// 192 × 1 = 192
// 192 × 2 = 384
// 192 × 3 = 576
// By concatenating each product we get the 1 to 9 pandigital, 192384576. We will call 192384576 the concatenated product of 192 and (1,2,3)
// The same can be achieved by starting with 9 and multiplying by 1, 2, 3, 4, and 5, giving the pandigital, 918273645, which is the concatenated product of 9 and (1,2,3,4,5).
// What is the largest 1 to 9 pandigital 9-digit number that can be formed as the concatenated product of an integer with (1,2, ... , n) where n > 1?

package main

import (
	"fmt"
	"projecteuler/euler"
	"strconv"
)

func p038() {
	max, ans := 0, ""
	for n := 100; n < 334; n++ {
		if s := strconv.Itoa(n * 1002003); euler.IsUniqueDigits(s) {
			if n > max {
				max = n
				ans = s
			}
		}
	}
	for n := 5000; n < 10000; n++ {
		if s := strconv.Itoa(n * 1000020); euler.IsUniqueDigits(s) {
			if n > max {
				max = n
				ans = s
			}
		}
	}
	fmt.Println("Problem 038:", ans[:len(ans)-1])
}
